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Finding the Fourth Proportional to 189,635.46, 284,494.74 and 71,306.80

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Solution

The fourth proportional to 189,635.46, 284,494.74 and 71,306.80 is: 106,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,635.46 : 284,494.74 = 71,306.80 : x
  2. Step 2: Convert to fraction form
    189,635.46/284,494.74 = 71,306.80/x
  3. Step 3: Cross multiply
    189,635.46x = 284,494.74 × 71,306.80
  4. Step 4: Simplify right side
    189,635.46x = 20,286,409,169.70
  5. Step 5: Solve for x
    x = 20,286,409,169.70/189,635.46
  6. Step 6: Final answer
    x = 106,975.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.